English

Small energy stabilization for 1D Nonlinear Klein Gordon Equations

Analysis of PDEs 2022-06-17 v1

Abstract

We give a partial extension to dimension 1 of the result proved by Bambusi and Cuccagna on the absence of small energy real valued periodic solutions for the NLKG in dimension 3. We combine the framework in Kowalczyk and Martel with the notion of "refined profile".

Keywords

Cite

@article{arxiv.2206.08012,
  title  = {Small energy stabilization for 1D Nonlinear Klein Gordon Equations},
  author = {Scipio Cuccagna and Masaya Maeda and Stefano Scrobogna},
  journal= {arXiv preprint arXiv:2206.08012},
  year   = {2022}
}
R2 v1 2026-06-24T11:53:23.871Z